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Finding the Fourth Proportional to 311,419.08, 467,086.32 and 121,747.50

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Solution

The fourth proportional to 311,419.08, 467,086.32 and 121,747.50 is: 182,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,419.08 : 467,086.32 = 121,747.50 : x
  2. Step 2: Convert to fraction form
    311,419.08/467,086.32 = 121,747.50/x
  3. Step 3: Cross multiply
    311,419.08x = 467,086.32 × 121,747.50
  4. Step 4: Simplify right side
    311,419.08x = 56,866,591,744.20
  5. Step 5: Solve for x
    x = 56,866,591,744.20/311,419.08
  6. Step 6: Final answer
    x = 182,604.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.